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11,635,610

2 × 5 × 7 × 113 × 1471
Abundant Even Composite

11,635,610 factors as 2 × 5 × 7 × 113 × 1471. Its 32 positive divisors give a proper-divisor sum of 12,528,742, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 113 × 1471
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,164,352
Proper Divisor Sum 12,528,742
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #11635609 ← → #11635627

Radix Representation

Decimal 11635610
Binary 101100011000101110011010 (24 bits)
Octal 0o54305632
Hexadecimal 0xB18B9A

Divisor Catalog (32)

1 2 5 7 10 14 35 70 113 226 565 791 1,130 1,471 1,582 2,942 3,955 7,355 7,910 10,297 14,710 20,594 51,485 102,970 166,223 332,446 831,115 1,163,561 1,662,230 2,327,122 5,817,805 11,635,610

Collatz Trajectory (153 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

11,635,610 5,817,805 17,453,416 8,726,708 4,363,354 2,181,677 6,545,032 3,272,516 1,636,258 818,129 2,454,388 1,227,194 613,597 1,840,792 920,396 460,198 230,099 690,298 345,149 1,035,448 517,724 258,862 129,431 388,294 194,147 582,442 291,221 873,664 436,832 218,416 109,208 54,604 27,302 13,651 40,954 20,477 61,432 30,716 15,358 7,679 23,038 11,519 34,558 17,279 51,838 25,919 77,758 38,879 116,638 58,319 174,958 87,479 262,438 131,219 393,658 196,829 590,488 295,244 147,622 73,811

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